Interior and exterior angles of regular polygons
I can find the interior and exterior angles of regular polygons.
Interior and exterior angles of regular polygons
I can find the interior and exterior angles of regular polygons.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- Exterior angles of a regular polygon are equal.
- The size of the exterior angle of a regular polygon can be determined.
- Interior angles of regular polygons are equal.
- The size of the interior angle of a regular polygon can be determined.
- The number of sides in a regular polygon can be determined from the size of the interior or exterior angle.
Keywords
Polygon - A polygon is a flat (2D), closed figure made up of straight line segments.
Regular polygon - A regular polygon has sides that are equal and interior (inside) angles that are all equal.
Interior angle - An interior angle is an angle formed inside a polygon by two of its edges.
Exterior angle - An exterior angle is an angle on the outside of a polygon between an extension of an edge and its adjacent edge.
Common misconception
Pupils may solve angle problems by using methods which are less efficient than others.
While less efficient methods are fine, encourage pupils to review their work each time they solve a problem to consider alternative methods.
To help you plan your year 8 maths lesson on: Interior and exterior angles of regular polygons, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 8 maths lesson on: Interior and exterior angles of regular polygons, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 3 maths lessons from the Geometrical properties: polygons unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Starter quiz
6 Questions







Exit quiz
6 Questions

